A marketing research firm believes that more than half of adults drink mostly either regular or diet soda. To test this claim, Gallup took a nationally representative sample of 2027 adults and asked them about their soda consumption. The survey shows that 950 of those surveyed drink mostly either regular or diet soda. The test statistics for the above hypthesis test for the proportion of adults who drink mostly either regular or diet soda is:________. (Round your answer to two decimal places)

Answer:

The test statistic is z = -2.82.

Step-by-step explanation:

A marketing research firm believes that more than half of adults drink mostly either regular or diet soda.

This means that the null hypothesis is: [tex]H_{0} = 0.5[/tex]

The alternate hypothesis is: [tex]H_{a} > 0.5[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

0.5 tested at the null hypothesis:

This means that:

[tex]\mu = 0.5, \sigma = \sqrt{0.5*0.5} = 0.5[/tex]

Gallup took a nationally representative sample of 2027 adults and asked them about their soda consumption. The survey shows that 950 of those surveyed drink mostly either regular or diet soda.

This means that [tex]n = 2027, X = \frac{950}{2027} = 0.4687[/tex]

Test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.4687 - 0.5}{\frac{0.5}{\sqrt{2027}}}[/tex]

[tex]z = -2.82[/tex]

The test statistic is z = -2.82.

To draw a line that is parallel to 9x+12y=16, what should the slope of the line be?(1 point)

A. 4/3
B. -3/4
C. -4/3
D. 3/4

Please Help me!!! with this problem

a profit of 24% was made wheb a book was sold for birr 34% find the selling price that would have given a profit 28%​

If AB is parallel to CD and the slope of AB is -3, what is the slope of CD?

Hello! I was trying to Do 69x24 but it is sadly not giving helpful tips so I was wondering if you can help me step by step?​

What is the approximate length of the base of the parallelogram in the diagram?

8*10^4 is how many times as large as 4*10^-5

What is the value of x?



Enter your answer in the box.

x =

Helps, also explain how to do it I want to learn how and stop using brainy​

Please help me I love u

What is the surface area?
40 m
32 m
40 m
48 m
40 m
square meters
i don’t need a explanation i just need a answer pls hurry!!

Round 796,154 to nearest 100,000

I need helpppppppp plssssssssss

Shade 50% of the figure

If I lost 4% of 100 pencils an 6% of 200 pens how many pencils do I have left and how many pens do I have left?

Help pleaseee is for nowwww

A rectangle has a length of (x+3) centimeters and a width of 1/2x centimeters. If the perimeter is 24 cm, what is the length of the rectangle?

2/6+1/4
Show work please
And no links

Quincy measured a picnic area near the river and made a scale drawing. He used the scale 1 inch : 10 yards. In the drawing, the picnic area is 17 inches long. What is the length of the actual picnic area?

Please help for today

Use the Distributive Property to
REWRITE 11(x + 5)

Assume that a simple random sample has been selected and test the given claim.Claim: The average age of actresses when they win an acting award is more than 34 years oldTo test this claim a simple random sample (SRS) of 27 actresses is used. This sample of 27 actresses had a sample mean of 31.4 years and a standard deviation = 11.2 years. Assume the the distribution of actresses ages is approximately normal.Select all TRUE statements from those given below..For this hypothesis test; H0: ? 34 H1: ?>342. The correct decision is to "support" (fail to reject) the null hypothesis H0.3. We decide to reject the claim that the average age of actresses when they win an acting award is more than 34 years old.4. For this hypothesis test, the P-value = .8815. For this hypothesis test, the test statistic is t = -1.21

need help geometry question central angles and arcs ??? pls help

please answer this correctly without making mistakes.I want ace,experts and genius people to answer this correctly without making mistakes


add q and 5, add 2 to the result, then add what you have to 4

8) How many terms of the arithmetic sequence (2, 4, 6, 8, ...} will give a sum of 600?

PLZ ANSWER

A quality report for a production line shows a score of 59 points on a 65-point inspection test. A passing score is 95% compliance. Did the production line pass inspection?​

If a Tv costs $910 and the sales tax is $80, how much will the TV cost in total?

Keisha is babysitting at $8 per hour to earn money for a car. So far she has saved $1300. The car that Keisha wants to buy costs at least $5440. Write and solve an inequality to determine the amount Keisha still needs to earn for the car.

HELP PLEASE DUE IN 4 MINUTES

Two swim clubs are having a membership sale. Aqua Plus is offering a two-year membership for $479.76. Water
World is offering an 18-month membership for $350.00. Which describes the swim club that has the lower-priced
offer?
O Aqua Plus has the lower cost of $239.88 per year
O Water World has the lower cost of $239.88 per year.
O Aqua Plus has the lower cost of $19.44 per month
Water World has the lower cost of $19.44 per month